Geodesic
Groups with minimal conditions
Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 5, pp. 219-235

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The author establishes a number of new propositions asserting that groups with various minimal conditions are Chernikov under some additional extremely weak finiteness conditions. These propositions include a great many known theorems on groups with minimal conditions. 
@article{FPM_2008_14_5_a15,
     author = {N. S. Chernikov},
     title = {Groups with minimal conditions},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {219--235},
     publisher = {mathdoc},
     volume = {14},
     number = {5},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2008_14_5_a15/}
}
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N. S. Chernikov. Groups with minimal conditions. Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 5, pp. 219-235. http://geodesic.mathdoc.fr/item/FPM_2008_14_5_a15/